Perimeter of Isosceles Right Triangle given Inradius Calculator

✖The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.ⓘ Inradius of Isosceles Right Triangle [r_i]

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✖The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.ⓘ Perimeter of Isosceles Right Triangle given Inradius [P]

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Perimeter of Isosceles Right Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle
P = (2+sqrt(2))^2*r_i
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Perimeter of Isosceles Right Triangle - (Measured in Meter) - The Perimeter of Isosceles Right Triangle is the total distance around the edge of the triangle.
Inradius of Isosceles Right Triangle - (Measured in Meter) - The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Isosceles Right Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2+sqrt(2))^2*r_i --> (2+sqrt(2))^2*2

Evaluating ... ...

P = 23.3137084989848

STEP 3: Convert Result to Output's Unit

23.3137084989848 Meter --> No Conversion Required

FINAL ANSWER

23.3137084989848 ≈ 23.31371 Meter <-- Perimeter of Isosceles Right Triangle

(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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< Perimeter of Isosceles Right Triangle Calculators

Perimeter of Isosceles Right Triangle given Circumradius

LaTeX Go Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle

Perimeter of Isosceles Right Triangle given Area

LaTeX Go Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2*Area of Isosceles Right Triangle)

Perimeter of Isosceles Right Triangle given Hypotenuse

LaTeX Go Perimeter of Isosceles Right Triangle = (1+sqrt(2))*Hypotenuse of Isosceles Right Triangle

Perimeter of Isosceles Right Triangle given Inradius

LaTeX Go Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle

Perimeter of Isosceles Right Triangle given Inradius Formula

LaTeX Go

Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle
P = (2+sqrt(2))^2*r_i

What is Isosceles Right Triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.

How to Calculate Perimeter of Isosceles Right Triangle given Inradius?

Perimeter of Isosceles Right Triangle given Inradius calculator uses Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle to calculate the Perimeter of Isosceles Right Triangle, The Perimeter of Isosceles Right Triangle given Inradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its inradius. Perimeter of Isosceles Right Triangle is denoted by P symbol.

How to calculate Perimeter of Isosceles Right Triangle given Inradius using this online calculator? To use this online calculator for Perimeter of Isosceles Right Triangle given Inradius, enter Inradius of Isosceles Right Triangle (r_i) and hit the calculate button. Here is how the Perimeter of Isosceles Right Triangle given Inradius calculation can be explained with given input values -> 23.31371 = (2+sqrt(2))^2*2.

FAQ

What is Perimeter of Isosceles Right Triangle given Inradius?

The Perimeter of Isosceles Right Triangle given Inradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its inradius and is represented as P = (2+sqrt(2))^2*r_i or Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle. The Inradius of Isosceles Right Triangle is defined as the radius of the circle inscribed inside the Isosceles Right Triangle.

How to calculate Perimeter of Isosceles Right Triangle given Inradius?

The Perimeter of Isosceles Right Triangle given Inradius formula is defined as the sum of all the sides of the Isosceles Right Triangle, calculated using its inradius is calculated using Perimeter of Isosceles Right Triangle = (2+sqrt(2))^2*Inradius of Isosceles Right Triangle. To calculate Perimeter of Isosceles Right Triangle given Inradius, you need Inradius of Isosceles Right Triangle (r_i). With our tool, you need to enter the respective value for Inradius of Isosceles Right Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Isosceles Right Triangle?

In this formula, Perimeter of Isosceles Right Triangle uses Inradius of Isosceles Right Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Isosceles Right Triangle = (1+sqrt(2))*Hypotenuse of Isosceles Right Triangle
Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2*Area of Isosceles Right Triangle)
Perimeter of Isosceles Right Triangle = (2+sqrt(2))*sqrt(2)*Circumradius of Isosceles Right Triangle

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